Three possibilities really-
Tapcon Screws 1/4" x 3" or bigger. Requires a hammer drill to pre drill the screw holes into the floor. Medium fast installation and pretty strong.
Ramset nails 3". Requires the ramset gun which can be rented, power loads and nails. Really fast, but probably the weakest type of connection. May NOT be suitable if you have high impact expectations on your wall panels.
Drop in concrete anchors. Requires a hammer drill again, anchors, threaded rod, nuts and washers. Slow installation, but the strongest by far.
The all leave a mark- as in a hole in the floor. The tapcons probably leave the smallest hole and the ramsets usually end up leaving a small crater when pulled.
You better talk to the property owner/manager about what method will keep you out of trouble with them first.